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Simplifying 5(y + -7) = 10y Reorder the terms: 5(-7 + y) = 10y (-7 * 5 + y * 5) = 10y (-35 + 5y) = 10y Solving -35 + 5y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -35 + 5y + -10y = 10y + -10y Combine like terms: 5y + -10y = -5y -35 + -5y = 10y + -10y Combine like terms: 10y + -10y = 0 -35 + -5y = 0 Add '35' to each side of the equation. -35 + 35 + -5y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -5y = 0 + 35 -5y = 0 + 35 Combine like terms: 0 + 35 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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